Question

Which of the following relation is correct? Here m= mass of object, M=mass of earth R=radius of earth,
(a) G =gm/R
(b) g=GM/R^2
(c) g=GM/R
(d) None of the above

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Answer 1

Explanation:

(c) answer sahi hai yahi

Answer 2

Answer :

• The answer is b .

Derivation :

Let ,

• M = mass of the earth
• m = mass of the object
• G = universal constant of gravitation
• R = radius of the earth

The weight of the object be equal to the gravitational force acting on it on the surface of the earth .

Hence ,

$\leadsto F = mg$

By Newton's law of gravitation ,

$\leadsto F =\dfrac {GMm}{R^2}$

Now , let's equate both the equations ,

$\leadsto \not{m}g = \dfrac{GM \not{m} }{R^2}$

Hence proved ,

$\leadsto \underline{\boxed{\red{g = \dfrac{GM }{R^2}}}}$